We're dividing 586219 by 47 
We want to divide 586219 by 47.

Advancing to step 1:
If we divide 5 by 47, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 47

Going ahead to step 2:
58 divided by 47 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 47 from 58 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 47

On to step 3:
When dividing 116 by 47, we get 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 94 away from 116, we end up with 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 47

Going ahead to step 4:
When dividing 222 by 47, we get 4 with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 124.0
Subtract 188 from 222 to get 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 47

Let's proceed to step 5:
When dividing 341 by 47, we get 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 1247.0
If we take 329 away from 341, we end up with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 47

On to step 6:
If we divide 129 by 47, we get 2 and a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 12472.0
Deduct 94 from 129 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
350 divided by 47 is 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 12472.7
Deduct 329 from 350 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
47 can be fit into 210 4 times, resulting in a remainder of 22.
The next digit of our result is 4. 
Result so far: 12472.74
Deduct 188 from 210 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
47 can be fit into 220 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 12472.744
Subtracting 188 from 220 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 12472.744 with a balance of 0.0032.